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Finding the Fourth Proportional to 10,053.20, 15,085.20 and 4,210.40

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Solution

The fourth proportional to 10,053.20, 15,085.20 and 4,210.40 is: 6,317.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,053.20 : 15,085.20 = 4,210.40 : x
  2. Step 2: Convert to fraction form
    10,053.20/15,085.20 = 4,210.40/x
  3. Step 3: Cross multiply
    10,053.20x = 15,085.20 × 4,210.40
  4. Step 4: Simplify right side
    10,053.20x = 63,514,726.08
  5. Step 5: Solve for x
    x = 63,514,726.08/10,053.20
  6. Step 6: Final answer
    x = 6,317.86

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.